Proof of the triviality of ·d4 field theory and some mean-field features of Ising models for d>4

Michael Aizenman

doi:10.1103/PhysRevLett.47.1

Proof of the triviality of ·d4 field theory and some mean-field features of Ising models for d>4

Michael Aizenman

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284 Scopus citations

Abstract

It is rigorously proved that the continuum limits of Euclidean ·d4 lattice fields are free fields in d>4. An exact geometric characterization of criticality in Ising models is introduced, and used to prove other mean-field features for d>4 and hyperscaling in d=2.

Original language	English (US)
Pages (from-to)	1-4
Number of pages	4
Journal	Physical review letters
Volume	47
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevLett.47.1
State	Published - Jan 1 1981

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1103/PhysRevLett.47.1

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abstract = "It is rigorously proved that the continuum limits of Euclidean ·d4 lattice fields are free fields in d>4. An exact geometric characterization of criticality in Ising models is introduced, and used to prove other mean-field features for d>4 and hyperscaling in d=2.",

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Proof of the triviality of ·d4 field theory and some mean-field features of Ising models for d>4

Abstract

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